Greatest Common Factor of 3542 and 3549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3542, 3549 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3542 and 3549 is 7.

GCF(3542,3549) = 7

GCF of 3542 and 3549

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3542 and 3549

GCF of 3542 and 3549 is 7

Prime Factorization of 3542


2 3542
7 1771
11 253
23 23
1

Prime factors of 3542 are 2,7,11,23. Prime factorization of 3542 in exponential form is:

3542 = 21×71×111×231

Prime Factorization of 3549


3 3549
7 1183
13 169
13 13
1

Prime factors of 3549 are 3,7,13. Prime factorization of 3549 in exponential form is:

3549 = 31×71×132

∴ So by taking common prime factors GCF of 3542 and 3549 is 7

Greatest Common Factor of 3542 and 3549 by matching factors method

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Factors of 3549

List of positive integer factors of 3549 that divides 3549 without a remainder.

1,3,7,13,21,39,91,169,273,507,1183,3549

Greatest Common Factor

We found the factors and prime factorization of 3542 and 3549. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3549 is 7.

Also check out the Least Common Multiple of 3542 and 3549

Properties of GCF 3542 and 3549

(i) The GCF of 3542 and 3549 is associative

GCF of 3542 and 3549 = GCF of 3549 and 3542

Related Greatest Common Factor of 3542

Related Greatest Common Factor of 3549

Frequently Asked Questions on GCF of 3542 and 3549

1. What is the GCF of 3542 and 3549?

Answer: GCF of 3542 and 3549 is 7.

2. What are the Factors of 3542?

Answer: Factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. There are 16 integers that are factors of 3542. The greatest factor of 3542 is 3542.

3. What are the Factors of 3549?

Answer: Factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549. There are 12 integers that are factors of 3549. The greatest factor of 3549 is 3549.

4. How to Find the GCF of 3542 and 3549?

Answer:

Greatest Common Factor of 3542 and 3549 = 7

Step 1: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 3549

3549 = 3 x 7 x 13 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3542 and 3549 is 7